In a right-angled triangle, the angle is 30, and the smaller leg is 5 cm, calculate the length of the hypotenuse

In a right-angled triangle, the angle is 30, and the smaller leg is 5 cm, calculate the length of the hypotenuse and the second leg.

First, let’s draw a triangle ABC, in which the angle C is straight.

Since we are given a smaller angle of 30 °, then the second angle is 90 – 30 = 60 °.

Since the sine of the angle is equal to the ratio of the opposite leg to the hypotenuse, the hypotenuse of such a triangle is: 2 * 5 = 10 cm.

Then, according to the Pythagorean theorem, the second leg is: √ (100 – 25) = 5√3.